Question

If the co-ordinates of the middle point of the portion of a line intercepted between coordinate axes is (3, 2), then the equation of the line will be

• A. 2x + 3y = 12
• B. 3x+2y=12
• C. 4x - 3y = 6
• D. 5x - 2y = 10

Answer 1

The correct option is A 2x + 3y = 12

Using midpoint formula we get the coordinates of the points A and B as (6, 0) and (0, 4) respectively.

Therefore, using intercept form of the striaght line, the equation of line AB is $\frac{x}{6}+\frac{y}{4}=1$
$\Rightarrow 2x+3y=12$